SciPy

scipy.special.y1

scipy.special.y1(x) = <ufunc 'y1'>

Bessel function of the second kind of order 1.

Parameters:

x : array_like

Argument (float).

Returns:

Y : ndarray

Value of the Bessel function of the second kind of order 1 at x.

See also

j1, yn, yv

Notes

The domain is divided into the intervals [0, 8] and (8, infinity). In the first interval a 25 term Chebyshev expansion is used, and computing \(J_1\) (the Bessel function of the first kind) is required. In the second, the asymptotic trigonometric representation is employed using two rational functions of degree 5/5.

This function is a wrapper for the Cephes [R477] routine y1.

References

[R477](1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

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